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What is the Least Common Multiple of 1840 and 1848?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 1840 and 1848 is 425040.

LCM(1840,1848) = 425040

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Least Common Multiple of 1840 and 1848 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 1840 and 1848, than apply into the LCM equation.

GCF(1840,1848) = 8
LCM(1840,1848) = ( 1840 × 1848) / 8
LCM(1840,1848) = 3400320 / 8
LCM(1840,1848) = 425040

Least Common Multiple (LCM) of 1840 and 1848 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 1840 and 1848. First we will calculate the prime factors of 1840 and 1848.

Prime Factorization of 1840

Prime factors of 1840 are 2, 5, 23. Prime factorization of 1840 in exponential form is:

1840 = 24 × 51 × 231

Prime Factorization of 1848

Prime factors of 1848 are 2, 3, 7, 11. Prime factorization of 1848 in exponential form is:

1848 = 23 × 31 × 71 × 111

Now multiplying the highest exponent prime factors to calculate the LCM of 1840 and 1848.

LCM(1840,1848) = 24 × 51 × 231 × 31 × 71 × 111
LCM(1840,1848) = 425040